The reconstitution mechanism for higher-curvature gravitational
theories is one of the most intriguing aspects of modern cosmology
and theoretical physics. A further modification of gravity in that
respect have been currently suggested that permits a particular
coupling of gravity and matter [1]}. More
particularly, \(f(\mathbf {R})\)  gravity has been extended in a
non-linear way by including the term \(\mathbf {T}^{2}\)  (where
\(\mathbf {T}^{2}\equiv T_{\alpha \beta }T^{\alpha \beta }\)  denotes the
stress-energy tensor) along with the Ricci scalar \(\mathbf {R}\)  in
the generic action of \(\mathrm {GR}\) . This generalization give rise
to \(f(\mathbf {R}, \mathbf {T}^{2})\)  class of gravity models, also
termed as energy-momentum-squared gravity \((\mathrm {EMSG})\)  due to
the appearance of the term \(\mathbf {T}^{2}\)  [2]}.
Further surveys on this novel modification have been executed by
many researchers.
